An optimal Bayesian decision procedure for testing hypothesis in normal linear models based on intrinsic model posterior probabilities is considered. It is proven that these posterior probabilities are simple functions of the classical <b>""F""</b>-statistic, thus the evaluation of the procedure can be...

Let "π" denote an intractable probability distribution that we would like to explore. Suppose that we have a positive recurrent, irreducible Markov chain that satisfies a minorization condition and has "π" as its invariant measure. We provide a method of using simulations from the Markov chain...